You move left 7 units. You end at (-3, -5). Where did you start?

The area of triangle XYZ is 864 Square units.

We start by finding the measure of angles \(\angle z$ and $\angle xzy$\). Since \($\angle x = 60^\circ$\)and\($\angle y = 45^\circ$\), we have

Also, since \($\overline{dx}$\) bisects \($\angle zxy$\), we have \($\angle xzd = \angle xzy = \frac{1}{2} \cdot (180^\circ - \angle x) = 60^\circ$\)

Using the law of sines in  \($\triangle zxd$\), we have \($\frac{24}{\sin 60^\circ} = \frac{xz}{\sin 15^\circ}$\). Solving for xz, we get \($xz = 48 \sqrt{3}$\).

Now, using the law of sines in \($\triangle xyz$\), we have \($\frac{xz}{\sin 75^\circ} = \frac{xy}{\sin 45^\circ}$\), which gives us\($xy = xz \cdot \frac{\sin 45^\circ}{\sin 75^\circ} = 48$\).

Finally, we can find the area of \($\triangle xyz$\) using the formula \($\frac{1}{2} \cdot xy \cdot xz \cdot \sin \angle x$\), which gives us \($\frac{1}{2} \cdot 48 \cdot 48 \sqrt{3} \cdot \sin 60^\circ = \boxed{864}$\) square units.

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Complete Question:

In triangle xyz, \($\angle x = 60^\circ$\)and \($\angle y = 45^\circ$\). point d lies on\($\overline{yz}$\) such that \($\overline{dx}$\) bisects \($\angle zxy.$\) if xd = 24, then find the area of triangle xyz.

The first term is 4, and to get the next term, we multiply the previous term by 2. So we can write the recursive formula as a(n) = 2 * a(n-1)

Having a common ratio of 2, the provided sequence is geometric. The first term is 4, and the prior term is multiplied by two to obtain the following term. The recursive algorithm can be expressed as follows:

a(n) = 2 * a(n-1)

where a(n) is the sequence's nth term and a(n-1) is its previous term.

Additionally, we can generate the terms of the sequence recursively using the starting value of a(1) = 4:

a(1) = 4

a(2) = 2 * a(1) = 2 * 4 = 8

a(3) = 2 * a(2) = 2 * 8 = 16

a(4) = 2 * a(3) = 2 * 16 = 32.

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Answer:

\(84.13^{\circ}\)

Step-by-step explanation:

By the exterior angle theorem, the answer is \(m\angle y+m\angle z=84.13^{\circ}\).

Answer:

Step-by-step explanation:

USE THE EXTERIOR ANGLE THEROME!
FIRST

THE FOMULA

a+b=c

y+z=x

now we have to add y and z

45.43 + 38.7

which gives us 84.13!

The angle x in the circle is 74 degrees.

The central angle is formed at the centre of a circle due to the intersection of any two radii within the circle.

The central angle of an arc is the central angle subtended by the arc.

The measure of an arc is the measure of its central angle.

Therefore,

x = 74 degrees

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Add 12 and 5 to get 17.

Multiply 32 and 10 to get 320.

Add 17 and 320 to get 337.

Subtract 5 from 337 to get 332.

332 ===> Answer

Add 12 and 5 to get 17

Subtract 5 from 10 to get 5.

Multiply 32 and 5 to get 160.

Add 17 and 160 to get 177.

177 ===> Answer

Answer:

the approximate value should be 2.83

The dimensions of the triangle are;

Base = 21 yards

Height of the triangle = 16 yards

It is important to note that the formula for determining the area of a triangle is expressed as;

Area = 1/2bh

Given that;

From the information given, we have that;

Base = 5 + h

Area =  168 square yards.

Now, substitute the values

168 = 1/ 2 (5 + h) h

expand the bracket

168 = 1/ 2 5h + h²

cross multply

5h + h² = 336

h² + 5h - 336 = 0

h² + 21h - 16h - 336 = 0

h( h + 21) - 16( h + 21) = 0

Then,

h = 16

h = -21

Base = 5 + h = 5 + 16 = 21 yards

Height = 16 yards

Hence, the values are 16 and 21 yards

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Answer:

\(\boxed{81}\)

Step-by-step explanation:

9 raised to 2 is

=> \(9^2\)

=> 9 * 9

=> 81

A Poisson random variable represents the number of occurrences of an event in a fixed interval of time or space. It is a discrete random variable, which means that it can only take on integer values, starting from zero. Therefore, the smallest numerical value that a Poisson random variable can be is zero.

This means that there is a possibility that the event will not occur at all during the given interval. For example, if we are counting the number of customers who visit a store in an hour, it is possible that no customers show up during that hour, resulting in a Poisson random variable of zero.

However, the probability of this occurring depends on the average rate of the event occurring, which is denoted by the parameter λ in the Poisson distribution. The larger the value of λ, the smaller the probability of a Poisson random variable being zero.

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Answer:

4

Step-by-step explanation:

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

Out of the last 15 sales, 3 of them were chocolate. So, a ratio we can use is:

(Chocolate sales: total sales)

If we set up a proportion to predict the number of chocolate sales out of the next 20 containers, we get:

(Let x = number of chocolate containers)

Solving for x:

Therefore, we can expect 4 of the next 20 containers sold to be chocolate.

The value of 16.023-5.58 = 10.4430 rounded off to the correct number of significant figures.

To perform the calculation and round the answer to the correct number of significant figures for the expression 16.023-5.58, follow these steps: First, subtract the given values of 16.023 and 5.58.16.023 - 5.58 = 10.443. The difference value is 10.443.

Now, round the answer to the correct number of significant figures by identifying the least significant digit that has been given in the question.

Here, the least significant figure is 2. The next digit after 2 is 3 which is greater than or equal to 5, so round up the digit. Therefore, rounding off 10.443 to the nearest thousandth gives 10.4430.

Thus, the value of 16.023-5.58 = 10.4430 rounded off to the correct number of significant figures.

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===============================================

Work Shown:

1 pint = 2 cups

8 pints = 16 cups (multiply both sides by 8)

We have an 8 pint bottle costing $16.80, so we can say

8 pints = 16.80 dollars

1 pint = 2.10 dollars (divide both sides by 8)

Answer:

$2.10

Step-by-step explanation:

2 cups in 1 pint

16 cups= 8 pints

16 cups = 16.80

16.80 divided by 8 = 2.1

The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.

However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.

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Answer:

Step-by-step explanation:

To find the slope of a line when only given two points on that line, divide the difference in the y points by the difference in the x points.

slope = (-5 - 7)/(-3 - 2) = -12/-5 = 12/5

slope = (7 - -5)/(2 - -3) = 12/

The probability of a random variable x being greater than 43 if it is normally distributed with a mean of 50 and a standard deviation of 7 is 0.22662735237686885.

The formula for the normal distribution is:

P(x) = 1/(sqrt(2*pi*o^2)) * e^(-(x-u)^2/(2*o^2))

where u is the mean and o is the standard deviation.

For the first part, we have u = 50 and o = 7.

So, P(x>43) = 1/(sqrt(2*pi*7^2)) * e^(-(43-50)^2/(2*7^2)) = 0.22662735237686885

For the second part, we have u = 81 and o = 4.

So, P(x<76) = 1/(sqrt(2*pi*4^2)) * e^(-(76-81)^2/(2*4^2)) = 0.8413447460685429

The probability of a random variable x being greater than 43 if it is normally distributed with a mean of 50 and a standard deviation of 7 is 0.22662735237686885. Similarly, the probability of a random variable x being less than 76 if it is normally distributed with a mean of 81 and a standard deviation of 4 is 0.8413447460685429. This can be calculated using the formula for the normal distribution, which is P(x) = 1/(sqrt(2*pi*o^2)) * e^(-(x-u)^2/(2*o^2)), where u is the mean and o is the standard deviation.

the complete question is : Assume the random variable x is normally distributed with mean u = 50 and standard deviation o = 7.

Find the indicated probability. P(x >43) P(x>43)=

Assume the random variable x is normally distributed with mean u = 81 and standard deviation = 4.

Find the indicated probability. P(x <76) P(x<76)= 0.8413447460685429

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Answer:

$90.02

Step-by-step explanation:

Solve

Formula: Change money = paid money – bill. Paid money = change + bill.

Given: 2 buckets of baseballs that cost $19.49 each

A bat that cost $125.50, and 2 pairs of baseball socks that totaled $29.50

Tax on Alex's purchases equaled $16.

Paid with three $100 bills.

To find: How much change Alex received if he paid with three $100 bills

Total payment + Total Tax  -Total cost

19.49 + 125.50 + 29.50  = 174.49 (Don't add the $16 tax because that will be taken from the amount we pay)

∴, three 100 bills is 300

So, 300 - 174.49 = 109.51

109.51 - 16 = 90.51

90.51 - 0.49 = $90.02

Answer:

The answer is definitely A.

Answer:

Yes it is what is the question you are answering and it's 90 degree

Answer:

yes line is a tangent to the circle

Step-by-step explanation:

the angle between a tangent and the radius of a circle is 90°

If the triangle is right then the line touching the circle is a tangent.

using the converse of Pythagoras' identity

if the square on the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right

longest side = 65 and 65² = 4225

56² + 33² = 3136 + 1089 = 4225

then the triangle is right and the line touching the circle is a tangent

Answer:$96,054,697,990 ”C”

Step-by-step explanation: Calculating the amount taxed from each person in the working population:31.4% × 26450 = $8305.30 per personThe amount of tax collected from the whole population:8305.30 × 11565470 = $96,054,697,990 ⇒ This is the annual tax revenue

The income tax collection by the total population of australia will be $96,054,697,990

What is income tax?

Some amount of our income is charged by the government this amount is called as income tax.

Calculating the amount taxed from each person in the working population:

31.4% × 26450 = $8305.30 per person

The amount of tax collected from the whole population:

8305.30 × 11565470 = $96,054,697,990  

The annual tax revenue will be equal to $96,054,697,990  

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\(slope=\dfrac{y2-y1}{x2-x1}\)

Label the coordinates:

(-1, 8)        (3, -4)

point 1     point 2

\(slope=\dfrac{-4-8}{3-(-1)}\)

\(slope=\dfrac{-12}{4}\)

\(\fbox{slope = -3}\)

Answer:

Below

Step-by-step explanation:

Slope , m  is defined as (y1-y2)/(x1-x2)

  it does not matter which point you call one and which you call two ...

m = ( 8 - - 4) / (-1 -3) = 12/ (-4) = - 3 slope

Noote that the measure of angle R is 27°. Here is how we got that.

Since the largest triangle is right triangle, the vertical segment is the perpendicular bisector of right angle with vertex at the center of circle.

Then we have

m∠R + 18° = 90°/2

m∠R + 18° = 45°

m∠R = 45° - 18°

m∠R = 27°

Note that the angle on the top of the triangle is right angle, 90 deg. Its altitude is the vertical segment, which is also angle bisector. It bisects the right angle and each formed angle measures 90/2 = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See the attached iamge.

the pH of the buffer is 3.74

To calculate the pH of a buffer containing 0.13 M lactic acid and 0.10 M sodium lactate, we will use the Henderson-Hasselbalch equation:

pH = pKa + log10([A-]/[HA])

Here, [A-] represents the concentration of the conjugate base, which is sodium lactate, and [HA] represents the concentration of the weak acid, which is lactic acid. Ka is given as 1.4 × 10⁻⁴.

First, we need to find the pKa. Since pKa = -log10(Ka):

pKa = -log10(1.4 × 10⁻⁴) = 3.85

Now, we can plug the values into the Henderson-Hasselbalch equation:

pH = 3.85 + log10(0.10 / 0.13)
pH = 3.85 + log10(0.769)
pH = 3.85 - 0.11 (approximately)

pH = 3.74

The pH of the buffer is approximately 3.74.

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The value of the exponent (2/5)^3 is \(\frac{8}{125}\)

In the above question, it is given that

(2/5)^3

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.

We need to solve it and then find the value of the exponent

(2/5)^3

= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)

= \(\frac{2 . 2. 2}{5 . 5 . 5}\)

= \(\frac{8}{125}\)

Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given points

STEP 2: Plot these points

STEP 3: Get the new points from the given function

STEP 4: Plot these new points also

Hence, the type of mapping here is One-to-One

None of the Above matches the completely integrated expression \(2x^3 + 2x^2 - 2x + C.\)

We can use the power rule of integration.

To integrate the expression ∫³₁ (6x² + 4x − 2) dx, we can apply the power rule of integration.

The power rule states that the integral of \(x^n\) with respect to x is \((x^(n+1))/(n+1) + C,\) where C is the constant of integration.

Let's integrate each term of the expression separately:

∫ (6x²) dx =\((6/3) * (x^3) = 2x^3\)

∫ (4x) dx = \((4/2) * (x^2) = 2x^2\)

∫ (-2) dx = -2x

Now, we can add up the individual integrals:

∫³₁ (6x² + 4x − 2) dx = \(2x^3 + 2x^2 - 2x + C\)

Therefore, the completely integrated expression is \(2x^3 + 2x^2 - 2x + C,\)where C is the constant of integration.

None of the Above matches the completely integrated expression \(2x^3 + 2x^2 - 2x + C.\)

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Answer:

Step-by-step explanation:

Let Tbe the number of tacos sold

let B be the number of burritos sold

Step-by-step explanation:

b=2t

4.75t+7.50b=790

the Jacobian determinant for the transformation \(x = 6u\sin(5v), y = 6u\cos(5v)\) is \(J = -180u\).

To find the Jacobian determinant of the transformation \((x, y) \rightarrow (u, v)\) for the given equations, we need to compute the partial derivatives of x and y with respect to u and v, respectively, and then calculate the determinant.

Transformation 1: \(x = 6u\cos(5v), y = 6u\sin(5v)\)

We start by finding the partial derivatives:

\[\frac{\partial x}{\partial u} = 6\cos(5v)\]

\[\frac{\partial x}{\partial v} = -30u\sin(5v)\]

\[\frac{\partial y}{\partial u} = 6\sin(5v)\]

\[\frac{\partial y}{\partial v} = 30u\cos(5v)\]

Now, we can calculate the Jacobian determinant:

\[J = \frac{\partial (x, y)}{\partial (u, v)} = \begin{vmatrix} \frac{\partial x}{\partial u} & \frac{\partial x}{\partial v} \\ \frac{\partial y}{\partial u} & \frac{\partial y}{\partial v} \end{vmatrix} = \begin{vmatrix} 6\cos(5v) & -30u\sin(5v) \\ 6\sin(5v) & 30u\cos(5v) \end{vmatrix}\]

Simplifying the determinant:

\[J = (6\cos(5v))(30u\cos(5v)) - (-30u\sin(5v))(6\sin(5v))\]

\[J = 180u\cos^2(5v) + 180u\sin^2(5v)\]

\[J = 180u(\cos^2(5v) + \sin^2(5v))\]

\[J = 180u\]

Therefore, the Jacobian determinant for the transformation \(x = 6u\cos(5v), y = 6u\sin(5v)\) is \(J = 180u\).

Transformation 2: \(x = 6u\sin(5v), y = 6u\cos(5v)\)

We repeat the same process for the second transformation:

\[\frac{\partial x}{\partial u} = 6\sin(5v)\]

\[\frac{\partial x}{\partial v} = 30u\cos(5v)\]

\[\frac{\partial y}{\partial u} = 6\cos(5v)\]

\[\frac{\partial y}{\partial v} = -30u\sin(5v)\]

The Jacobian determinant:

\[J = \begin{vmatrix} \frac{\partial x}{\partial u} & \frac{\partial x}{\partial v} \\ \frac{\partial y}{\partial u} & \frac{\partial y}{\partial v} \end{vmatrix} = \begin{vmatrix} 6\sin(5v) & 30u\cos(5v) \\ 6\cos(5v) & -30u\sin(5v) \end{vmatrix}\]

Simplifying the determinant:

\[J = (6\sin(5v))(-30u\sin(5v)) - (30u\cos(5v))(6\cos(5v))\]

\[J = -180u\sin^2(5v) - 180u\cos^2(5v)\

]

\[J = -180u(\sin^2(5v) + \cos^2(5v))\]

\[J = -180u\]

Therefore, the Jacobian determinant for the transformation \(x = 6u\sin(5v), y = 6u\cos(5v)\) is \(J = -180u\).

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Answer:

The total number of pieces delivered in 6 days is the number delivered each second (28.52) times the number of seconds in 6 days (28 34.52). This gives:

(28.52) (28 3¹.52) 28 + 8.31.52+2 = 216.31.54

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